Question 53 Given a directed graph w/ nonnegative edge lengths & two distinct nodes, a and z. Let X denote a shortest path From a to z. If we add 10 to the length of every edge in the graph, then: )X definitely remains a shortest a-z path. i) X definitely does not remain a shortest a-z path. ii) X might or might not remain a shortest a-z path (depending on the graph).

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.5: The Format Proof Of A Theorem
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53
Question 53
Given a directed graph w/ nonnegative edge lengths & two distinct nodes, a and z. Let X denote a shortest path
from a to z. If we add 10 to the length of every edge in the graph, then:
DX definitely remains a shortest a-z path.
ii) X definitely does not remain a shortest a-z path.
lii)X might or might not remain a shortest a-z path (depending on the graph).
iv) If X has only one edge, then X definitely remains a shortest a-z
path.
O i only
O i only
O None of the choices
O i and iv only
O i only
O i and iv only
O iv only
Transcribed Image Text:Question 53 Given a directed graph w/ nonnegative edge lengths & two distinct nodes, a and z. Let X denote a shortest path from a to z. If we add 10 to the length of every edge in the graph, then: DX definitely remains a shortest a-z path. ii) X definitely does not remain a shortest a-z path. lii)X might or might not remain a shortest a-z path (depending on the graph). iv) If X has only one edge, then X definitely remains a shortest a-z path. O i only O i only O None of the choices O i and iv only O i only O i and iv only O iv only
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